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Finding the Fourth Proportional to 290,956.45, 401,517.27 and 163,629.31

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Solution

The fourth proportional to 290,956.45, 401,517.27 and 163,629.31 is: 225,806.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,956.45 : 401,517.27 = 163,629.31 : x
  2. Step 2: Convert to fraction form
    290,956.45/401,517.27 = 163,629.31/x
  3. Step 3: Cross multiply
    290,956.45x = 401,517.27 × 163,629.31
  4. Step 4: Simplify right side
    290,956.45x = 65,699,991,017.45
  5. Step 5: Solve for x
    x = 65,699,991,017.45/290,956.45
  6. Step 6: Final answer
    x = 225,806.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.